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Probability Theory

Probability Theory
The Logic of Science

$135.00 (C)

  • Date Published: June 2003
  • availability: Available
  • format: Hardback
  • isbn: 9780521592710

$ 135.00 (C)

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About the Authors
  • Going beyond the conventional mathematics of probability theory, this study views the subject in a wider context. It discusses new results, along with applications of probability theory to a variety of problems. The book contains many exercises and is suitable for use as a textbook on graduate-level courses involving data analysis. Aimed at readers already familiar with applied mathematics at an advanced undergraduate level or higher, it is of interest to scientists concerned with inference from incomplete information.

    • Unique interpretation of probability theory, containing new and original work by the author
    • Applications of probability theory to a wide range of problems in physics and other areas
    • The interpretation of probability as an extension of logic, dispelling many of the paradoxes usually associated with probability theory
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    Reviews & endorsements

    "...tantalizing of the most useful and least familiar applications of Bayesian theory...Probability Theory [is] considerably more entertaining reading than the average statistics textbook...the conceptual points that underlie his attacks are often right on."

    "This is a work written by a scientist for scientists. As such it is to be welcomed. The reader will certainly find things with which he disagrees, but he will also find much that will cause him to think deeply not only on his usual practice by also on statistics and probability in general. Probability Theory: the Logic of Science is, for both statisticians and scientists, more than just 'recommended reading': it should be prescribed."
    Mathematical Reviews

    "...the rewards of reading Probability Theory can be immense."
    Physics Today, Ralph Baierlein

    “This is not an ordinary text. It is an unabashed, hard sell of the Bayesian approach to statistics. It is wonderfully down to earth, with hundreds of telling examples. Everyone who is interested in the problems or applications of statistics should have a serious look.”
    SIAM News

    "[T]he author thinks for himself…and writes in a lively way about all sorts of things. It is worth dipping into it if only for vivid expressions of opinion...There are many books on Bayesian statistics, but few with this much color."
    Notices of the AMS

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    Product details

    • Date Published: June 2003
    • format: Hardback
    • isbn: 9780521592710
    • length: 753 pages
    • dimensions: 256 x 180 x 39 mm
    • weight: 1.64kg
    • availability: Available
  • Table of Contents

    Part I. Principles and Elementary Applications:
    1. Plausible reasoning
    2. The quantitative rules
    3. Elementary sampling theory
    4. Elementary hypothesis testing
    5. Queer uses for probability theory
    6. Elementary parameter estimation
    7. The central, Gaussian or normal distribution
    8. Sufficiency, ancillarity, and all that
    9. Repetitive experiments, probability and frequency
    10. Physics of 'random experiments'
    Part II. Advanced Applications:
    11. Discrete prior probabilities, the entropy principle
    12. Ignorance priors and transformation groups
    13. Decision theory: historical background
    14. Simple applications of decision theory
    15. Paradoxes of probability theory
    16. Orthodox methods: historical background
    17. Principles and pathology of orthodox statistics
    18. The Ap distribution and rule of succession
    19. Physical measurements
    20. Model comparison
    21. Outliers and robustness
    22. Introduction to communication theory
    Appendix A. Other approaches to probability theory
    Appendix B. Mathematical formalities and style
    Appendix C. Convolutions and cumulants.

  • Author

    E. T. Jaynes


    G. Larry Bretthorst

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